49968577620 has 240 divisors, whose sum is σ = 169673750400. Its totient is φ = 12237122304.

The previous prime is 49968577613. The next prime is 49968577627. The reversal of 49968577620 is 2677586994.

49968577620 is a `hidden beast` number, since 499 + 6 + 8 + 57 + 76 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (49968577613) and next prime (49968577627).

It is a super-3 number, since 3×49968577620³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49968577627) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4184979 + ... + 4196901.

It is an arithmetic number, because the mean of its divisors is an integer number (706973960).

Almost surely, 2^49968577620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49968577620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84836875200).

49968577620 is an abundant number, since it is smaller than the sum of its proper divisors (119705172780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49968577620 is a wasteful number, since it uses less digits than its factorization.

49968577620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 49968577620 in words is "forty-nine billion, nine hundred sixty-eight million, five hundred seventy-seven thousand, six hundred twenty".